摘要
在运输过程中,包装件经常受到非高斯随机振动的作用,在进行包装系统优化时,经常需要重复确定包装件加速度响应的统计特征和振动可靠性,该研究提出一种高效准确确定非高斯随机振动条件下非线性包装件加速度响应统计特征的分析方法。采用非高斯Karhunen-Loeve展开将非高斯随机振动表示为非高斯随机变量的线性组合,用一阶泰勒展开估计包装件加速度响应,确定加速度响应的统计矩参数,根据包装件加速度响应的前四阶矩参数,应用鞍点估计法确定包装件加速度响应的概率密度函数(probability density function, PDF)和累积分布函数(cumulative distribution function, CDF)。由于采用随机变量的线性组合模拟非高斯随机振动激励,避免了随机变量非线性变换,采用一阶泰勒展开估计包装件加速度响应具有良好的准确性,鞍点估计法分析包装件加速度响应的PDF和CDF,避免了大量蒙特卡洛或拟蒙特卡洛分析,提高了分析效率。
In many cases,the package is excited by non-Gaussian random vibration loads.In circumstances where the packaging system optimization and package parameters optimization are performed,the package acceleration response statistical characteristics and the vibration reliability need to be determined repeatedly.Aiming at this disadvantage,an efficient and accurate analytical method was proposed to determine the statistical characteristics of nonlinear package acceleration responses・By use of non-Gaussian Karhunen-Loeve expansion,the stationary non-Gaussian random vibration was expressed as the linear combination of uncorrelated non-Gaussian random variables,and the package acceleration response was approximated by using first order Taylor expansion,so that the statistical characteristics of the package acceleration response were able to be calculated analytically.The probability density function(PDF)and cumulative distribution function(CDF)of the package acceleration response were determined using the saddlepoint approximation method,based on the first four statistical moments of the package acceleration response.Since the linear combination of non-Gaussian variables was used to express the excitation,the nonlinear transformation of random variables was avoided.It is shown the first order Taylor expansion approximation for the response has good accuracy.The PDF and CDF of the package response were determined analytically by use of saddlepoint approximation,so,the Monte Carlo(or Quasi Monte Carlo)simulations were avoided,and it is also shown the analysis efficiency is improved greatly.
作者
朱大鹏
王浩然
曹兴潇
ZHU Dapeng;WANG Haoran;CAO Xingxiao(School of Traffic and Transportation,Lanzhou Jiaotong University,Lanzhou 730070,China;School of Mechanical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)
出处
《振动与冲击》
EI
CSCD
北大核心
2023年第2期100-107,125,共9页
Journal of Vibration and Shock
基金
国家自然科学基金(51765028)
甘肃省自然科学基金(20JR5RA400)
兰州交通大学-天津大学联合创新基金项目(2021054)
甘肃省教育厅双一流重大科研项目(GSSYLXM-04)。
